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4053648 = 243791069
BaseRepresentation
bin1111011101101010010000
321121221120010
433131222100
52014204043
6222514520
746312134
oct17355220
97557503
104053648
112319625
121435a40
13abc111
147773c4
15551133
hex3dda90

4053648 has 40 divisors (see below), whose sum is σ = 10614400. Its totient is φ = 1332864.

The previous prime is 4053641. The next prime is 4053659. The reversal of 4053648 is 8463504.

It is a d-powerful number, because it can be written as 45 + 0 + 59 + 33 + 64 + 45 + 87 .

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (4053641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3258 + ... + 4326.

It is an arithmetic number, because the mean of its divisors is an integer number (265360).

Almost surely, 24053648 is an apocalyptic number.

4053648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4053648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307200).

4053648 is an abundant number, since it is smaller than the sum of its proper divisors (6560752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4053648 is a wasteful number, since it uses less digits than its factorization.

4053648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4053648 is about 2013.3673286313. The cubic root of 4053648 is about 159.4466300084.

The spelling of 4053648 in words is "four million, fifty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1069 1264 1896 2138 3207 3792 4276 6414 8552 12828 17104 25656 51312 84451 168902 253353 337804 506706 675608 1013412 1351216 2026824 4053648